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Finding the Fourth Proportional to 897.84, 1,346.70 and 349.92

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Solution

The fourth proportional to 897.84, 1,346.70 and 349.92 is: 524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.84 : 1,346.70 = 349.92 : x
  2. Step 2: Convert to fraction form
    897.84/1,346.70 = 349.92/x
  3. Step 3: Cross multiply
    897.84x = 1,346.70 × 349.92
  4. Step 4: Simplify right side
    897.84x = 471,237.26
  5. Step 5: Solve for x
    x = 471,237.26/897.84
  6. Step 6: Final answer
    x = 524.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.